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What is the Least Common Multiple of 84436 and 84445?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 84436 and 84445 is 7130198020.

LCM(84436,84445) = 7130198020

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Least Common Multiple of 84436 and 84445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84436 and 84445, than apply into the LCM equation.

GCF(84436,84445) = 1
LCM(84436,84445) = ( 84436 × 84445) / 1
LCM(84436,84445) = 7130198020 / 1
LCM(84436,84445) = 7130198020

Least Common Multiple (LCM) of 84436 and 84445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84436 and 84445. First we will calculate the prime factors of 84436 and 84445.

Prime Factorization of 84436

Prime factors of 84436 are 2, 11, 19, 101. Prime factorization of 84436 in exponential form is:

84436 = 22 × 111 × 191 × 1011

Prime Factorization of 84445

Prime factors of 84445 are 5, 16889. Prime factorization of 84445 in exponential form is:

84445 = 51 × 168891

Now multiplying the highest exponent prime factors to calculate the LCM of 84436 and 84445.

LCM(84436,84445) = 22 × 111 × 191 × 1011 × 51 × 168891
LCM(84436,84445) = 7130198020